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12432440142 = 233972399931
BaseRepresentation
bin10111001010000011…
…11111101101001110
31012002102211101201000
423211001333231032
5200430201041032
65413354201130
7620041666113
oct134501775516
935072741630
1012432440142
1152aa874321
1224ab7231a6
131231923975
1485d22890a
154cb6e0e7c
hex2e507fb4e

12432440142 has 64 divisors (see below), whose sum is σ = 28032076800. Its totient is φ = 4083851520.

The previous prime is 12432440093. The next prime is 12432440149. The reversal of 12432440142 is 24104423421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432440149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1246917 + ... + 1256847.

It is an arithmetic number, because the mean of its divisors is an integer number (438001200).

Almost surely, 212432440142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12432440142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016038400).

12432440142 is an abundant number, since it is smaller than the sum of its proper divisors (15599636658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12432440142 is a wasteful number, since it uses less digits than its factorization.

12432440142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10278 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12432440142 its reverse (24104423421), we get a palindrome (36536863563).

The spelling of 12432440142 in words is "twelve billion, four hundred thirty-two million, four hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 239 291 478 582 717 873 1434 1746 2151 2619 4302 5238 6453 9931 12906 19862 23183 29793 46366 59586 69549 89379 139098 178758 208647 268137 417294 536274 625941 963307 1251882 1926614 2373509 2889921 4747018 5779842 7120527 8669763 14241054 17339526 21361581 26009289 42723162 52018578 64084743 128169486 230230373 460460746 690691119 1381382238 2072073357 4144146714 6216220071 12432440142